Function or Not a Function?
Linear or Nonlinear?
Name that function!
Comparing Functions
100
Is it a function:
NO! a has two different outputs
100
Is the following graph linear or nonlinear?
Nonlinear!
100
The store charges $2.50 per cup of coffee. Write a function for this situation.
What is y = 2.50x
100
Which has a greater rate of change?
A.) y=2x+4
B.) y=3x+4
B has great rate of change, 3>2
200
Is this a function:
Yes! Each input is paired with only 1 output.
200
Does the following equation represent a Linear function or a Nonlinear function? Explain.
y=2x+4
Linear! exponent of 0 and 1
200
A company charges a membership fee of $100 plus a monthly fee of $25. Write a function to represent this relationship.
What is y= 25x + 100
200
Which equation has a greater initial value?
A.) y=-2x+7
B.) y=-5x - 3
A has a greater initial value 7>-3
300
Is this a function:
NO! Fails the verticle line test.
300
Does the following table represent a Linear or Nonlinear Function? Explain.
Nonlinear! No constant rate of change.
300
Write the equation for the graph pictured below:
y= -4x+30
300
Write an equation for each situation then determine which has a smaller rate of change?
Cab company A charges $3.50 plus $0.25 per mile
Cab company B charges $3.00 plus $0.50 per mile
Cab company A: y=0.25x+3.50
Cab company B: y=0.50x+3.00
Smaller rate of change: cab company A
400
Is the following graph a function?
Yes! A verticle line will only pass through at 1 point!
400
Does the following equation represent a Linear function or a Nonlinear function? Explain.
y=x^3-5
Nonlinear. x has an exponent of 3
400
Write the linear equation for the table below:
y= 3x -7
400
Write an equation for each situation then determine which has a smaller initial value?
An Apple tree is 12 cm tall and grow 2 cm every week.
A Pear tree is 10 cm tall and grows 3 cm every week.
Apple tree: y=2x+12
Pear tree: y=3x+10
Pear tree has a smaller initial value.
500
Is the following graph a function:
NO! Fails the vertical line test
500
Does the table below represent a Linear Function or a Nonlinear Function? Explain.
Linear! Constant rate of change of -4/2 = -2
500
Write the linear function that represents the table below:
y=20x+100
500
Which situation (equation or graph) has a greater initial value
They are the same
equation: -3
graph: -3